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Finding the Fourth Proportional to 89,782.95, 123,895.11 and 49,498.41

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Solution

The fourth proportional to 89,782.95, 123,895.11 and 49,498.41 is: 68,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,782.95 : 123,895.11 = 49,498.41 : x
  2. Step 2: Convert to fraction form
    89,782.95/123,895.11 = 49,498.41/x
  3. Step 3: Cross multiply
    89,782.95x = 123,895.11 × 49,498.41
  4. Step 4: Simplify right side
    89,782.95x = 6,132,610,951.78
  5. Step 5: Solve for x
    x = 6,132,610,951.78/89,782.95
  6. Step 6: Final answer
    x = 68,304.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.